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This article is cited in 1 scientific paper (total in 1 paper)
On extended Rothe's method for nonlinear parabolic variational inequalities in noncylindrical domains
G. Kulievaa, K. Kulievb a Samarkand branch of Tashkent University of Informational Technology,
47 Shohruh Mirzo, Samarkand 140100,
Uzbekistan
b Samarkand State University,
15 University Boulevard, Samarkand 140104,
Uzbekistan
Abstract:
In this paper, some nonlinear parabolic variational inequalities in noncylindrical domains
are considered. Using extended Rothe's method introduced and developed in [10] an approximate
solution is constructed. Existence and uniqueness results are proved. Moreover, we present some
further results and comments related to the main result.
Keywords and phrases:
parabolic variational inequalities, parabolic PDE, numerical methods, time-discretization, Rothe's method.
Received: 26.03.2019
Citation:
G. Kulieva, K. Kuliev, “On extended Rothe's method for nonlinear parabolic variational inequalities in noncylindrical domains”, Eurasian Math. J., 11:3 (2020), 51–65
Linking options:
https://www.mathnet.ru/eng/emj374 https://www.mathnet.ru/eng/emj/v11/i3/p51
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Abstract page: | 139 | Full-text PDF : | 61 | References: | 21 |
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